893930880 has 256 divisors, whose sum is σ = 3073904640. Its totient is φ = 220323840.

The previous prime is 893930819. The next prime is 893930897. The reversal of 893930880 is 88039398.

It is a super-2 number, since 2×893930880² = 1598224836435148800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1368634 + ... + 1369286.

It is an arithmetic number, because the mean of its divisors is an integer number (12007440).

Almost surely, 2^893930880 is an apocalyptic number.

893930880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 893930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536952320).

893930880 is an abundant number, since it is smaller than the sum of its proper divisors (2179973760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

893930880 is a wasteful number, since it uses less digits than its factorization.

893930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 893930880 is about 29898.6768938025. The cubic root of 893930880 is about 963.3142394202.

The spelling of 893930880 in words is "eight hundred ninety-three million, nine hundred thirty thousand, eight hundred eighty".